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Finding the Third Proportional to 682.36 and 1,462.03

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Solution

The third proportional to 682.36 and 1,462.03 is: 3,132.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    682.36 : 1,462.03 = 1,462.03 : x
  2. Step 2: Convert to fraction form
    682.36/1,462.03 = 1,462.03/x
  3. Step 3: Cross multiply
    682.36x = 1,462.03 × 1,462.03
  4. Step 4: Simplify right side
    682.36x = 2,137,535.38
  5. Step 5: Solve for x
    x = 2,137,535.38/682.36
  6. Step 6: Final answer
    x = 3,132.57

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.